Answer: 0.1802 as a fraction is 901/5000
Converting the decimal number 0.1802 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
Step 1: Understand the DecimalThe decimal 0.1802 can be broken down as:
0.1802 = 0 + 0.1802
Here, 0 is the whole number part, and 0.1802 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1802, to a fraction. To do this, consider the place value of the decimal:
0.1802 =
1802
10000
Now, simplify the fraction 1802/10000. To do this, find the greatest common divisor (GCD) of 1802 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1802 ÷ 2
10000 ÷ 2
=
901
5000
So, 0.1802 as a fraction is 901/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1802 = 0 + 0.1802, express the entire number as a mixed fraction:
0.1802
= 0 +
901
5000
=
0
5000
+
901
5000
=
901
5000
Here, 0/5000 is the whole number 0, and 901/5000 is the fractional part.
Final Result: Fraction Form of 0.1802 After simplifying, we get the final fraction:
Answer: 0.1802 = 901/5000
Converting 0.1802 to a fraction results in 901/5000. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.